Cremona's table of elliptic curves

5928 = 2³ · 3 · 13 · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 13+ 19-	Signs for the Atkin-Lehner involutions
Class	5928k	Isogeny class
Conductor	5928	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	-46292653056 = -1 · 210 · 3 · 133 · 193	Discriminant
Eigenvalues	2- 3+  1  3 -2 13+ -4 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2640,-52356]	[a1,a2,a3,a4,a6]
Generators	[110:988:1]	Generators of the group modulo torsion
j	-1987925163844/45207669	j-invariant
L	3.8610742622831	L(r)(E,1)/r!
Ω	0.33256048034206	Real period
R	1.935023597468	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	11856i1 47424bs1 17784f1 77064c1	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 5928k1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	+	1	3	-2	+	-4	-	1	6	-4	3	0	-8	-6	-5	-5	-5	-4	11	-14	-11	-4	0	-1

---

Quadratic twists for elliptic curve 5928k1

-4	8	-3	13	-19
11856i1	47424bs1	17784f1	77064c1	112632j1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations